Question

Jaya went to buy $5$ kg of salt. She got two $\dfrac{3}{4}$ kg packs of salt. The rest of the salt she bought in $\dfrac{1}{2}$kg packets. How many $\dfrac{1}{2}$kg packets. How many $\dfrac{1}{2}$kg packets did she buy?

Answer 1

Hint: For solving this particular problem , we have to calculate the rest of the salt she bought in $\dfrac{1}{2}$kg packets. We must make an equation according to the information. And try to simplify the equation.

Complete step-by-step solution:
We know that amount of salt she bought $ = 5$kg, and
We also know that no. of $\dfrac{3}{4}$kg bags bought $ = 2$
Therefore, the amount of salt bought of $\dfrac{3}{4}$ kg $ = 2 \times \dfrac{3}{4}$kg
Therefore, the amount of salt bought of $\dfrac{3}{4} kg$ = $\dfrac{3}{2}$kg Now, the amount of salt left $ = (5 - \dfrac{3}{2})$kg
Now, the amount of salt left $ = \dfrac{7}{2}$kg
Let $n$ be the number of bags be bought of $\dfrac{1}{2}$kg,
$\Rightarrow n \times \dfrac{1}{2}$kg $ = \dfrac{7}{2}$ kg
$\Rightarrow n = 7$

Therefore, she will buy seven bags of $\dfrac{1}{2}$ kg.

Additional Information:
Addition and subtraction of integers is a bit complex. Addition and subtraction are the two functions that are the fundamental mathematical functions. In integers this function is a bit complicated because of the presence of a specific sign before the amount. However, once you add or subtract two numbers with the identical sign you are doing as directed, but if the numbers have different signs then it's different.
If there's subtraction between a positive and a negative number then there's addition.
Rules of integers for addition and subtraction :
1) If the two numbers have different signs like positive and negative then subtract the two numbers and provide the sign of the larger number.
2) If the two numbers have the same sign i.e. either positive or negative signs then add the two numbers and provide the common sign.
3) (positive) x (positive) = positive sign.
4) (negative) x (negative) = negative sign.
5) (positive) x (negative) = negative sign.
6) (negative) x (positive) = negative sign.

Note: The solution of the addition or subtraction between two numbers will have the sign of the greater number. If there's subtraction between a positive and a negative number then there's addition.